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Finding the Fourth Proportional to 48,341, 66,709.56 and 26,829.50

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Solution

The fourth proportional to 48,341, 66,709.56 and 26,829.50 is: 37,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,341 : 66,709.56 = 26,829.50 : x
  2. Step 2: Convert to fraction form
    48,341/66,709.56 = 26,829.50/x
  3. Step 3: Cross multiply
    48,341x = 66,709.56 × 26,829.50
  4. Step 4: Simplify right side
    48,341x = 1,789,784,140.02
  5. Step 5: Solve for x
    x = 1,789,784,140.02/48,341
  6. Step 6: Final answer
    x = 37,024.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.